# zbMATH — the first resource for mathematics

## Journal of $$K$$-Theory

### $$K$$-Theory and its Applications in Algebra, Geometry, Analysis & Topology

 Short Title: J. $$K$$-Theory Publisher: Cambridge University Press, Cambridge ISSN: 1865-2433; 1865-5394/e Online: http://journals.cambridge.org/KAG Comments: No longer indexed
 Documents Indexed: 276 Publications (2008–2014) References Indexed: 262 Publications with 6,086 References.
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#### Latest Issues

 14, No. 3 (2014) 14, No. 2 (2014) 14, No. 1 (2014) 13, No. 3 (2014) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 3 (2013) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 3 (2013) 11, No. 2 (2013) 11, No. 1 (2013) 10, No. 3 (2012) 10, No. 2 (2012) 10, No. 1 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 3 (2011) 7, No. 2 (2011) 7, No. 1 (2011) 6, No. 3 (2010) 6, No. 2 (2010) 6, No. 1 (2010) 5, No. 3 (2010) 5, No. 2 (2010) 5, No. 1 (2010) 4, No. 3 (2009) 4, No. 2 (2009) 4, No. 1 (2009) 3, No. 3 (2009) 3, No. 2 (2009) 3, No. 1 (2009) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 3 (2008) 1, No. 2 (2008) 1, No. 1 (2008)
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#### Fields

 161 $$K$$-theory (19-XX) 91 Algebraic geometry (14-XX) 61 Algebraic topology (55-XX) 58 Category theory; homological algebra (18-XX) 48 Functional analysis (46-XX) 36 Associative rings and algebras (16-XX) 33 Number theory (11-XX) 27 Global analysis, analysis on manifolds (58-XX) 24 Group theory and generalizations (20-XX) 20 Manifolds and cell complexes (57-XX) 15 Commutative algebra (13-XX) 10 History and biography (01-XX) 9 Nonassociative rings and algebras (17-XX) 8 Differential geometry (53-XX) 7 Topological groups, Lie groups (22-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

220 Publications have been cited 1,400 times in 1,219 Documents Cited by Year
Dimensions of triangulated categories. Zbl 1165.18008
Rouquier, Raphaël
2008
Weight structures vs. $$t$$-structures; weight filtrations, spectral sequences, and complexes (for motives and in general). Zbl 1303.18019
Bondarko, M. V.
2010
Under Spec $$\mathbb Z$$. (Au-dessous de Spec $$\mathbb Z$$.) Zbl 1177.14022
Toën, Bertrand; Vaquié, Michel
2009
Bak’s work on the $$K$$-theory of rings. Zbl 1183.19001
Hazrat, Roozbeh; Vavilov, Nikolai
2009
Symmetric monoidal structure on non-commutative motives. Zbl 1256.19002
2012
Hermitian $$K$$-theory of exact categories. Zbl 1328.19009
Schlichting, Marco
2010
Mesablishvili, Bachuki; Wisbauer, Robert
2011
On the Lie enveloping algebra of a pre-Lie algebra. Zbl 1178.17011
Oudom, J.-M.; Guin, D.
2008
Convergence of the motivic Adams spectral sequence. Zbl 1309.14018
Hu, P.; Kriz, I.; Ormsby, K.
2011
Remarks on motivic homotopy theory over algebraically closed fields. Zbl 1248.14026
Hu, Po; Kriz, Igor; Ormsby, Kyle
2011
Vector bundles and Gromov-Hausdorff distance. Zbl 1189.53041
Rieffel, Marc A.
2010
Recollement of homotopy categories and Cohen-Macaulay modules. Zbl 1251.18008
Iyama, Osamu; Kato, Kiriko; Miyachi, Jun-Ichi
2011
Homotopy invariance of non-stable $$K_{1}$$-functors. Zbl 1314.19002
Stavrova, A.
2014
Relative subgroups in Chevalley groups. Zbl 1204.20066
Hazrat, R.; Petrov, V.; Vavilov, N.
2010
The noncommutative geometry of $$k$$-graph $$C^*$$-algebras. Zbl 1167.46036
2008
Report on locally finite triangulated categories. Zbl 1252.18028
Krause, Henning
2012
A Thom-Porteous formula for connective $$K$$-theory using algebraic cobordism. Zbl 1314.14015
Hudson, Thomas
2014
Stratifications and Mackey functors. II: Globally defined Mackey functors. Zbl 1243.20014
Webb, Peter
2010
Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006
Carey, Alan L.; Wang, Bai-Ling
2008
Invariance of the $$K$$-theory for derived equivalences. (Invariance de la $$K$$-théorie par équivalences dérivées.) Zbl 1230.19002
Cisinski, Denis-Charles
2010
$$\mathbb A^1$$-homotopy of Chevalley groups. Zbl 1200.14039
Wendt, Matthias
2010
The analytic index of elliptic pseudodifferential operators on a singular foliation. Zbl 1237.57030
Androulidakis, Iakovos; Skandalis, Georges
2011
Fiberwise $$KK$$-equivalence of continuous fields of $$C^*$$-algebras. Zbl 1173.46050
2009
The Farrell-Jones isomorphism conjecture for 3-manifold groups. Zbl 1160.57018
Roushon, S. K.
2008
On the homology of unitary groups with polynomial coefficients. (Sur l’homologie des groupes unitaires à coefficients polynomiaux.) Zbl 1281.19004
Djament, Aurélien
2012
Motives over simplicial schemes. Zbl 1194.14029
2010
Auslander-Reiten triangles in subcategories. Zbl 1201.16021
Jørgensen, Peter
2009
The Guillemin-Sternberg conjecture for noncompact groups and spaces. Zbl 1159.19004
Hochs, P.; Landsman, N. P.
2008
Separable functors and formal smoothness. Zbl 1167.16032
Ardizzoni, Alessandro
2008
Versal deformations of Leibniz algebras. Zbl 1191.17001
Fialowski, Alice; Mandal, Ashis; Mukherjee, Goutam
2009
Motivic connective $$k$$-theories and the cohomology of $$A(1)$$. Zbl 1266.14015
Isaksen, Daniel C.; Shkembi, Armira
2011
$$KK$$-theory and spectral flow in von Neumann algebras. Zbl 1260.19001
Kaad, J.; Nest, R.; Rennie, A.
2012
A fundamental property of Suslin matrices. Zbl 1200.13019
Jose, Selby; Rao, Ravi A.
2010
Bounded and unbounded Fredholm modules for quantum projective spaces. Zbl 1207.58008
D’Andrea, Francesco; Landi, Giovanni
2010
Elementary symplectic orbits and improved $$K_{1}$$-stability. Zbl 1218.19001
2011
An index theorem of Callias type for pseudodifferential operators. Zbl 1248.58012
Kottke, Chris
2011
The additivity of traces in monoidal derivators. Zbl 1349.18015
Groth, Moritz; Ponto, Kate; Shulman, Michael
2014
Cyclic multicategories, multivariable adjunctions and mates. Zbl 1326.18005
Cheng, Eugenia; Gurski, Nick; Riehl, Emily
2014
Geometry of Reidemeister classes and twisted Burnside theorem. Zbl 1215.22003
Fel’shtyn, Alexander; Troitsky, Evgenij
2008
Motivic decomposition of anisotropic varieties of type $$F_{4}$$ into generalized Rost motives. Zbl 1163.14014
Nikolenko, S.; Semenov, N.; Zainoulline, K.
2009
The projective bundle theorem for $$I^j$$-cohomology. Zbl 1272.14019
Fasel, Jean
2013
Analysis on arithmetic schemes. II. Zbl 1225.14019
Fesenko, Ivan
2010
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra $$O_{n}$$. Zbl 1220.19004
Carey, A. L.; Phillips, J.; Rennie, A.
2010
2010
Comparison of secondary invariants of algebraic $$K$$-theory. Zbl 1241.19001
2011
Rationally trivial torsors in $$\mathbb A^1$$-homotopy theory. Zbl 1228.19002
Wendt, Matthias
2011
Cycles of codimension 2 and unramified $$H^3$$ for varieties over finite fields. (Cycles de codimension 2 et $$H^3$$ non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004
Colliot-Thélène, Jean-Louis; Kahn, Bruno
2013
Prime ideals of mixed Artin-Tate motives. Zbl 1275.14021
Peter, Tobias J.
2013
Perfect complexes on Deligne-Mumford stacks and applications. Zbl 1189.19003
Krishna, Amalendu
2009
Higher homotopy operations and cohomology. Zbl 1207.55012
Blanc, David; Johnson, Mark W.; Turner, James M.
2010
The fundamental theorem via derived Morita invariance, localization, and $$\mathbb A^{1}$$-homotopy invariance. Zbl 1257.18007
2012
Local left invertibility for operator tuples and noncommutative localizations. Zbl 1185.46048
Dosiev, Anar
2009
A Bloch-Wigner complex for $$\mathrm{SL}_{2}$$. Zbl 1284.19003
Hutchinson, Kevin
2013
Reduction of filtered $$K$$-theory and a characterization of Cuntz-Krieger algebras. Zbl 1330.46058
Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi
2014
Higher quasi-categories vs higher Rezk spaces. Zbl 1322.18002
Ara, Dimitri
2014
Connective algebraic $$K$$-theory. Zbl 1326.19001
Dai, Shouxin; Levine, Marc
2014
Flat bundles, von Neumann algebras and $$K$$-theory with $$\mathbb{R}/\mathbb{Z}$$-coefficients. Zbl 1315.46077
Antonini, Paolo; Azzali, Sara; Skandalis, Georges
2014
On the functoriality of the slice filtration. Zbl 1319.14029
Pelaez, Pablo
2013
On a localisation sequence for the K-theory of skew power series rings. Zbl 1270.16035
Witte, Malte
2013
Injective stability for unitary $$K_{1}$$. Revisited. Zbl 1270.19003
Sinchuk, S.
2013
Elliptic symbols, elliptic operators and Poincaré duality on conical pseudomanifolds. Zbl 1183.58005
Lescure, Jean-Marie
2009
Twisted homology of quantum $$SL(2)$$. II. Zbl 1201.58003
2010
Index maps in the $$K$$-theory of graph algebras. Zbl 1260.46051
Carlsen, Toke Meier; Eilers, Søren; Tomforde, Mark
2012
Cancellation problem for projective modules over affine algebras. Zbl 1180.13012
Keshari, Manoj Kumar
2009
On (co)homology of Frobenius Poisson algebras. Zbl 1309.17012
Zhu, Can; Van Oystaeyen, Fred; Zhang, Yinhuo
2014
Index theory and non-commutative geometry. II: Dirac operators and index bundles. Zbl 1155.58009
Benameur, Moulay-Tahar; Heitsch, James L.
2008
Characterizing C$$^*$$-algebras of compact operators by generic categorical properties of Hilbert C$$^*$$-modules. Zbl 1163.46039
Frank, Michael
2008
Relative Zariski open objects. Zbl 1266.14005
Marty, Florian
2012
Derived moduli of schemes and sheaves. Zbl 1257.14008
Pridham, J. P.
2012
Representability of derived stacks. Zbl 1257.14009
Pridham, J. P.
2012
Module categories for group algebras over commutative rings. Zbl 1291.20010
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning
2013
Compactly supported analytic indices for Lie groupoids. Zbl 1188.19004
Rouse, Paulo Carrillo
2009
Geometric $$K$$-homology with coefficient. I: $$\mathbb Z / k\mathbb Z$$-cycles and Bockstein sequence. Zbl 1256.19005
Deeley, Robin J.
2012
On the Witt groups of projective bundles and split quadrics: geometric reasoning. Zbl 1223.19005
Nenashev, Alexander
2009
Slices of motivic Landweber spectra. Zbl 1249.14008
Spitzweck, Markus
2012
An elementary differential extension of odd $$K$$-theory. Zbl 1327.19014
Tradler, Thomas; Wilson, Scott O.; Zeinalian, Mahmoud
2013
Hochster’s theta pairing and numerical equivalence. Zbl 1326.13013
Dao, Hailong; Kurano, Kazuhiko
2014
Cyclic homology, Serre’s local factors and $$\lambda$$-operations. Zbl 1327.14109
Connes, Alain; Consani, Caterina
2014
Twisted $$K$$-theory constructions in the case of a decomposable Dixmier-Douady class. Zbl 1360.19014
Harju, Antti J.; Mickelsson, Jouko
2014
Bounded rigidity of manifolds and asymptotic dimension growth. Zbl 1202.53048
Chang, Stanley S.; Ferry, Steven; Yu, Guoliang
2008
Orderings and signatures of higher level on multirings and hyperfields. Zbl 1270.12003
2012
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
2013
Simplicial homotopy in semi-abelian categories. Zbl 1190.18007
Van der Linden, Tim
2009
Reduced Steenrod operations and resolution of singularities. Zbl 1238.14006
Haution, Olivier
2012
Nisnevich descent for $$K$$-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
2012
Norm index formula for the Tate kernels and applications. Zbl 1254.11105
Assim, J.; Movahhedi, A.
2012
Cohomological obstruction theory for Brauer classes and the period-index problem. Zbl 1236.14023
Antieau, Benjamin
2011
On the algebraic $$K$$-theory of truncated polynomial algebras in several variables. Zbl 1317.19006
Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet
2014
On the Lie-formality of Poisson manifolds. Zbl 1149.17013
Sharygin, G.; Talalaev, D.
2008
Periodicity of Hermitian $$K$$-groups. Zbl 1254.19005
Berrick, A. J.; Karoubi, M.; Østvær, P. A.
2011
Motivic invariants of $$p$$-adic fields. Zbl 1258.14025
Ormsby, Kyle M.
2011
Grothendieck groups for categories of complexes. Zbl 1163.13008
Foxby, Hans-Bjørn; Halvorsen, Esben Bistrup
2009
Cohomologically triangulated categories. I. Zbl 1152.18006
Baues, H.-J.; Muro, F.
2008
The isomorphism conjecture for 3-manifold groups and $$K$$-theory of virtually poly-surface groups. Zbl 1161.57012
Roushon, Sayed K.
2008
Generically split projective homogeneous varieties. II. Zbl 1254.14060
Petrov, Victor; Semenov, Nikita
2012
Beilinson’s Hodge conjecture for smooth varieties. Zbl 1300.14009
de Jeu, Rob; Lewis, James D.
2013
A Gersten-Witt complex for Hermitian Witt groups of coherent algebras over schemes. II: Involution of the second kind. Zbl 1243.11055
Gille, Stefan
2009
A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Zbl 1186.19004
Spiess, Michael; Yamazaki, Takao
2009
Brown representability often fails for homotopy categories of complexes. Zbl 1250.18015
Modoi, George Ciprian; Šťovíček, Jan
2012
Tame kernels and second regulators of number fields and their subfields. Zbl 1286.11199
Browkin, Jerzy; Gangl, Herbert
2013
Homotopy invariance of non-stable $$K_{1}$$-functors. Zbl 1314.19002
Stavrova, A.
2014
A Thom-Porteous formula for connective $$K$$-theory using algebraic cobordism. Zbl 1314.14015
Hudson, Thomas
2014
The additivity of traces in monoidal derivators. Zbl 1349.18015
Groth, Moritz; Ponto, Kate; Shulman, Michael
2014
Cyclic multicategories, multivariable adjunctions and mates. Zbl 1326.18005
Cheng, Eugenia; Gurski, Nick; Riehl, Emily
2014
Reduction of filtered $$K$$-theory and a characterization of Cuntz-Krieger algebras. Zbl 1330.46058
Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi
2014
Higher quasi-categories vs higher Rezk spaces. Zbl 1322.18002
Ara, Dimitri
2014
Connective algebraic $$K$$-theory. Zbl 1326.19001
Dai, Shouxin; Levine, Marc
2014
Flat bundles, von Neumann algebras and $$K$$-theory with $$\mathbb{R}/\mathbb{Z}$$-coefficients. Zbl 1315.46077
Antonini, Paolo; Azzali, Sara; Skandalis, Georges
2014
On (co)homology of Frobenius Poisson algebras. Zbl 1309.17012
Zhu, Can; Van Oystaeyen, Fred; Zhang, Yinhuo
2014
Hochster’s theta pairing and numerical equivalence. Zbl 1326.13013
Dao, Hailong; Kurano, Kazuhiko
2014
Cyclic homology, Serre’s local factors and $$\lambda$$-operations. Zbl 1327.14109
Connes, Alain; Consani, Caterina
2014
Twisted $$K$$-theory constructions in the case of a decomposable Dixmier-Douady class. Zbl 1360.19014
Harju, Antti J.; Mickelsson, Jouko
2014
On the algebraic $$K$$-theory of truncated polynomial algebras in several variables. Zbl 1317.19006
Angeltveit, Vigleik; Gerhardt, Teena; Hill, Michael A.; Lindenstrauss, Ayelet
2014
$$K$$-theory, reality, and duality. Zbl 1325.55003
Heard, Drew; Stojanoska, Vesna
2014
Tannakization in derived algebraic geometry. Zbl 1325.18001
Iwanari, Isamu
2014
The triangulated category of $$\mathrm K$$-motives $$DK_{-}^{\mathrm{eff}}(k)$$. Zbl 1327.14106
Garkusha, Grigory; Panin, Ivan
2014
Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras. Zbl 1311.16003
Ara, P.; Pardo, E.
2014
The noncommutative infinitesimal equivariant index formula. Zbl 1348.58015
Wang, Yong
2014
Dendroidal sets as models for connective spectra. Zbl 1323.55009
Bašić, Matija; Nikolaus, Thomas
2014
Twisted homological stability for extensions and automorphism groups of free nilpotent groups. Zbl 1308.19001
Szymik, Markus
2014
Morava $$K$$-theory rings for the groups $$G_{38}, \ldots, G_{41}$$ of order 32. Zbl 1304.55004
2014
An interesting example for spectral invariants. Zbl 1300.58009
Benameur, Moulay-Tahar; Heitsch, James L.; Wahl, Charlotte
2014
An additive variant of Somekawa’s $$K$$-groups and Kähler differentials. Zbl 1317.19005
Hiranouchi, Toshiro
2014
Reciprocity laws on algebraic surfaces via iterated integrals. Zbl 1317.19008
Horozov, Ivan; Kerr, Matt
2014
$$K$$-groups of reciprocity functors for $$\mathbb{G}_a$$ and abelian varieties. Zbl 1326.19002
Rülling, Kay; Yamazaki, Takao
2014
Algebraic $$K$$-theory of $$\infty$$-operads. Zbl 1325.55009
Nikolaus, Thomas
2014
Twisted $$K$$-theory and obstructions against positive scalar curvature metrics. Zbl 1305.19004
Pennig, Ulrich
2014
Twisted Witt groups of flag varieties. Zbl 1305.19002
Zibrowius, Marcus
2014
Equivariant $$\mathrm{KK}$$-theory for generalised actions and Thom isomorphism in groupoid twisted $$K$$-theory. Zbl 1311.19003
Moutuou, El-Kaïoum M.
2014
Cyclic cohomology and Baaj-Skandalis duality. Zbl 1325.19002
Voigt, Christian
2014
$$E$$-theory for $$C[0, 1]$$-algebras with finitely many singular points. Zbl 1318.46040
2014
Milnor $$K$$-theory and the graded representation ring. Zbl 1345.12005
Guillot, Pierre; Mináč, Ján
2014
On the motive of the group of units of a division algebra. Zbl 1325.14037
Shinder, Evgeny
2014
On the rational $$K_2$$ of a curve of $$\mathrm{GL}_{2}$$ type over a global field of positive characteristic. Zbl 1322.19002
Chida, Masataka; Kondo, Satoshi; Yamauchi, Takuya
2014
The projective bundle theorem for $$I^j$$-cohomology. Zbl 1272.14019
Fasel, Jean
2013
Cycles of codimension 2 and unramified $$H^3$$ for varieties over finite fields. (Cycles de codimension 2 et $$H^3$$ non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004
Colliot-Thélène, Jean-Louis; Kahn, Bruno
2013
Prime ideals of mixed Artin-Tate motives. Zbl 1275.14021
Peter, Tobias J.
2013
A Bloch-Wigner complex for $$\mathrm{SL}_{2}$$. Zbl 1284.19003
Hutchinson, Kevin
2013
On the functoriality of the slice filtration. Zbl 1319.14029
Pelaez, Pablo
2013
On a localisation sequence for the K-theory of skew power series rings. Zbl 1270.16035
Witte, Malte
2013
Injective stability for unitary $$K_{1}$$. Revisited. Zbl 1270.19003
Sinchuk, S.
2013
Module categories for group algebras over commutative rings. Zbl 1291.20010
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning
2013
An elementary differential extension of odd $$K$$-theory. Zbl 1327.19014
Tradler, Thomas; Wilson, Scott O.; Zeinalian, Mahmoud
2013
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
2013
Beilinson’s Hodge conjecture for smooth varieties. Zbl 1300.14009
de Jeu, Rob; Lewis, James D.
2013
Tame kernels and second regulators of number fields and their subfields. Zbl 1286.11199
Browkin, Jerzy; Gangl, Herbert
2013
Self-dual blended extensions. (Extensions panachées autoduales.) Zbl 1272.18007
Bertrand, Daniel
2013
Milnor descent for cohesive dg-categories. Zbl 1296.18005
Ben-Bassat, Oren; Block, Jonathan
2013
Algebraic cobordism theory attached to algebraic equivalence. Zbl 1273.14045
Krishna, Amalendu; Park, Jinhyun
2013
Central simple algebras of prime exponent and divided power operations. Zbl 1275.16020
Sivatski, A. S.
2013
Algebraic $$K$$-theory and cyclic homology. Zbl 1286.19004
Loday, Jean-Louis
2013
On a local to global principle in étale $$K$$-groups of curves. Zbl 1291.19005
Banaszak, Grzegorz; Krasoń, Piotr
2013
On additive invariants of actions of additive and multiplicative groups. Zbl 1328.14074
Hu, Wenchuan
2013
Sheaf theory and Paschke duality. Zbl 1368.46066
Roe, John; Siegel, Paul
2013
Geometric $$K$$-homology with coefficients. II: The analytic theory and isomorphism. Zbl 1297.19006
Deeley, Robin J.
2013
A residue formula for the fundamental Hochschild class on the Podleś sphere. Zbl 1293.58009
Krähmer, Ulrich; Wagner, Elmar
2013
Modular invariants and twisted equivariant $$K$$-theory. II: Dynkin diagram symmetries. Zbl 1310.81137
Evans, David E.; Gannon, Terry
2013
Godeaux-Serre varieties and the étale index. Zbl 1272.14018
Antieau, Benjamin; Williams, Ben
2013
Quillen model categories. Zbl 1285.18019
Hovey, Mark
2013
Spectrum of group cohomology and support varieties. Zbl 1297.20055
Friedlander, Eric M.
2013
Quillen’s solution of Serre’s problem. Zbl 1282.13001
Suslin, Andrei
2013
Remarks on Murre’s conjecture on Chow groups. Zbl 1284.14011
Xu, Kejian; Xu, Ze
2013
$$K$$-cycles for twisted $$K$$-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
2013
On $$\lambda-$$invariants of number fields and étale cohomology. Zbl 1348.11085
Kolster, Manfred; Movahhedi, Abbas
2013
Smoothness in relative geometry. Zbl 1296.18003
Marty, Florian
2013
Equivariant semi-topological $$K$$-homology and a theorem of Thomason. Zbl 1297.19004
Heller, Jeremiah; Hornbostel, Jens
2013
A candidate for the abelian category of mixed elliptic motives. Zbl 1295.14010
Patashnick, Owen
2013
Remarks on 1-motivic sheaves. Zbl 1317.14011
Bertapelle, Alessandra
2013
On lambda operations on mixed motives. Zbl 1290.14005
Biglari, Shahram
2013
Symmetric monoidal structure on non-commutative motives. Zbl 1256.19002
2012
Report on locally finite triangulated categories. Zbl 1252.18028
Krause, Henning
2012
On the homology of unitary groups with polynomial coefficients. (Sur l’homologie des groupes unitaires à coefficients polynomiaux.) Zbl 1281.19004
Djament, Aurélien
2012
$$KK$$-theory and spectral flow in von Neumann algebras. Zbl 1260.19001
Kaad, J.; Nest, R.; Rennie, A.
2012
The fundamental theorem via derived Morita invariance, localization, and $$\mathbb A^{1}$$-homotopy invariance. Zbl 1257.18007
2012
Index maps in the $$K$$-theory of graph algebras. Zbl 1260.46051
Carlsen, Toke Meier; Eilers, Søren; Tomforde, Mark
2012
Relative Zariski open objects. Zbl 1266.14005
Marty, Florian
2012
Derived moduli of schemes and sheaves. Zbl 1257.14008
Pridham, J. P.
2012
Representability of derived stacks. Zbl 1257.14009
Pridham, J. P.
2012
Geometric $$K$$-homology with coefficient. I: $$\mathbb Z / k\mathbb Z$$-cycles and Bockstein sequence. Zbl 1256.19005
Deeley, Robin J.
2012
Slices of motivic Landweber spectra. Zbl 1249.14008
Spitzweck, Markus
2012
Orderings and signatures of higher level on multirings and hyperfields. Zbl 1270.12003
2012
Reduced Steenrod operations and resolution of singularities. Zbl 1238.14006
Haution, Olivier
2012
Nisnevich descent for $$K$$-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
2012
Norm index formula for the Tate kernels and applications. Zbl 1254.11105
Assim, J.; Movahhedi, A.
2012
Generically split projective homogeneous varieties. II. Zbl 1254.14060
Petrov, Victor; Semenov, Nikita
2012
Brown representability often fails for homotopy categories of complexes. Zbl 1250.18015
Modoi, George Ciprian; Šťovíček, Jan
2012
Two-categorical bundles and their classifying spaces. Zbl 1257.55009
Baas, Nils A.; Bökstedt, Marcel; Kro, Tore August
2012
Hodge realizations of 1-motives and the derived Albanese. Zbl 1267.14030
2012
On the conjectural Leibniz cohomology for groups. Zbl 1272.17005
Covez, Simon
2012
Cohomological invariants for orthogonal involutions on degree 8 algebras. Zbl 1262.11051
Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre
2012
Equivariant K-theory, groupoids and proper actions. Zbl 1254.19008
Cantarero, Jose
2012
Continuity of the norm map on Milnor $$K$$-theory. Zbl 1263.11106
Morrow, Matthew
2012
On the algebraic $$K$$-theory of formal power series. Zbl 1257.19002
Lindenstrauss, Ayelet; McCarthy, Randy
2012
Non-$$K$$-exact uniform Roe $$C^*$$-algebras. Zbl 1267.46082
Špakula, Ján
2012
Spaces of sections of Banach algebra bundles. Zbl 1264.46050
Farjoun, Emmanuel Dror; Schochet, Claude L.
2012
Birational invariants in the Bloch-Ogus spectral sequence. (Invariants birationnels dans la suite spectrale de Bloch-Ogus.) Zbl 1275.14007
Pirutka, Alena
2012
Comparison of Karoubi’s regulator and the $$p$$-adic Borel regulator. Zbl 1272.19003
Tamme, Georg
2012
The motivic cohomology of Stiefel varieties. Zbl 1264.19004
Williams, Ben
2012
A note on Kasparov products. Zbl 1316.19006
Grensing, Martin
2012
The essential dimension of stacks of parabolic vector bundles over curves. Zbl 1267.14019
Biswas, Indranil; Dhillon, Ajneet; Lemire, Nicole
2012
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#### Cited by 1,149 Authors

 33 Vavilov, Nikolaĭ Aleksandrovich 24 Tabuada, Gonçalo 15 Hazrat, Roozbeh 15 Østvær, Paul Arne 14 Bondarko, Mikhail Vladimirovich 14 Rennie, Adam 13 Banerjee, Abhishek 13 Rao, Ravi A. 12 Blanc, David Abraham 11 Wisbauer, Robert 11 Zhang, Zuhong 10 Krishna, Amalendu 9 Carey, Alan L. 9 Sims, Aidan 9 Wendt, Matthias 8 Ardizzoni, Alessandro 8 Connes, Alain 8 Hoyois, Marc 8 Mesablishvili, Bachuki 8 Ormsby, Kyle M. 8 Pauksztello, David 8 Stevenson, Greg 8 Takahashi, Ryo 7 Benameur, Moulay-Tahar 7 Biswas, Indranil 7 Brzeziński, Tomasz 7 Fasel, Jean 7 Isaksen, Daniel C. 7 Jørgensen, Peter Bjørn 7 Jose, Selby 7 Levine, Marc Noel 7 Lück, Wolfgang 7 Menini, Claudia 7 Oppermann, Steffen 7 Stepanov, Alexeĭ Vladimirovich 6 Antieau, Benjamin 6 Ballard, Matthew Robert 6 Baues, Hans-Joachim 6 Böhm, Gabriella 6 Carrillo-Rouse, Paulo 6 Garkusha, Grigory 6 Goffeng, Magnus 6 Hafezi, Rasool 6 Hudson, Thomas 6 Hutchinson, Kevin 6 Jun, Jaiung 6 Landi, Giovanni 6 Muro, Fernando 6 Panin, Ivan A. 6 Stavrova, Anastasia K. 6 Šťovíček, Jan 6 Wang, Bailing 5 Asadollahi, Javad J. 5 Asok, Aravind 5 Bartels, Arthur C. 5 Bentmann, Rasmus 5 Bergh, Petter Andreas 5 Blumberg, Andrew J. 5 Consani, Caterina 5 Dadarlat, Marius 5 Dosi, Anar Adygezal 5 Ebrahimi-Fard, Kurusch 5 Fel’shtyn, Alexander 5 Gepner, David 5 Gorokhovsky, Alexander 5 Groth, Moritz 5 Hackney, Philip 5 Heller, Jeremiah 5 Hochs, Peter 5 Holm, Thorsten 5 Karoubi, Max 5 Katzarkov, Ludmil 5 Lorscheid, Oliver 5 Marcolli, Matilde 5 Mathai, Varghese 5 Matsumura, Tomoo 5 Neeman, Amnon 5 Sinchuk, Sergeĭ Sergeevich 5 Skandalis, Georges 5 Sukochev, Fedor Anatol’evich 5 Weibel, Charles A. 5 Zhang, Pu 4 Ananyevskiy, Alexey 4 Androulidakis, Iakovos 4 Balmer, Paul 4 Ben-Bassat, Oren 4 Berrick, A. Jon 4 Bourne, Chris 4 Bräunling, Oliver 4 Broomhead, Nathan T. 4 Canonaco, Alberto 4 Chattopadhyay, Pratyusha 4 Debord, Claire 4 Deeley, Robin J. 4 Dell’Ambrogio, Ivo 4 Dugger, Daniel 4 Favero, David 4 Gao, Nan 4 Gómez, José R. 4 Hall, Jack ...and 1,049 more Authors
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#### Cited in 186 Journals

 102 Advances in Mathematics 96 Journal of Algebra 65 Journal of Pure and Applied Algebra 38 Transactions of the American Mathematical Society 33 Journal of $$K$$-Theory 32 Communications in Algebra 32 Journal of Geometry and Physics 32 Journal of Noncommutative Geometry 28 Compositio Mathematica 25 Algebraic & Geometric Topology 24 Mathematische Zeitschrift 24 Journal of Mathematical Sciences (New York) 21 Journal of Homotopy and Related Structures 20 Proceedings of the American Mathematical Society 19 Journal of Functional Analysis 18 Selecta Mathematica. New Series 18 Documenta Mathematica 17 Mathematische Annalen 17 Applied Categorical Structures 15 Journal of Number Theory 15 Algebras and Representation Theory 14 Journal für die Reine und Angewandte Mathematik 14 Geometry & Topology 13 Annals of $$K$$-Theory 11 St. Petersburg Mathematical Journal 11 Journal of the Institute of Mathematics of Jussieu 10 Communications in Mathematical Physics 10 Manuscripta Mathematica 9 Inventiones Mathematicae 9 Theory and Applications of Categories 9 Journal of Algebra and its Applications 9 Journal of Topology 8 Journal of the European Mathematical Society (JEMS) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Annales de l’Institut Fourier 7 Nagoya Mathematical Journal 7 Topology and its Applications 7 International Journal of Mathematics 7 Annals of Mathematics. Second Series 7 European Journal of Mathematics 6 Letters in Mathematical Physics 6 Bulletin of the London Mathematical Society 6 Memoirs of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Kyoto Journal of Mathematics 6 Forum of Mathematics, Sigma 5 Israel Journal of Mathematics 5 Duke Mathematical Journal 5 The Journal of Geometric Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Linear Algebra and its Applications 5 Algebra & Number Theory 5 Journal of Topology and Analysis 5 Science China. Mathematics 4 Journal of Mathematical Analysis and Applications 4 Russian Mathematical Surveys 4 Reviews in Mathematical Physics 4 Archiv der Mathematik 4 Journal of the American Mathematical Society 4 Vestnik St. Petersburg University. Mathematics 4 Journal of Algebraic Combinatorics 4 Journal of Algebraic Geometry 4 Russian Journal of Mathematical Physics 4 Bulletin des Sciences Mathématiques 4 Central European Journal of Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Mathematical Physics 3 Functiones et Approximatio. Commentarii Mathematici 3 Publications Mathématiques 3 Mathematische Nachrichten 3 Proceedings of the London Mathematical Society. Third Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Ergodic Theory and Dynamical Systems 3 Annals of Global Analysis and Geometry 3 Kyushu Journal of Mathematics 3 Mathematical Physics, Analysis and Geometry 3 Positivity 3 Journal of Group Theory 3 Journal of Fixed Point Theory and Applications 3 Frontiers of Mathematics in China 3 Journal of Commutative Algebra 3 Research in the Mathematical Sciences 3 Journal de l’École Polytechnique – Mathématiques 2 Linear and Multilinear Algebra 2 Mathematics of Computation 2 Acta Arithmetica 2 Canadian Journal of Mathematics 2 Glasgow Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Transactions of the Moscow Mathematical Society 2 Advances in Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 International Journal of Algebra and Computation 2 Differential Geometry and its Applications 2 MSCS. Mathematical Structures in Computer Science 2 Geometric and Functional Analysis. GAFA ...and 86 more Journals
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#### Cited in 43 Fields

 409 Algebraic geometry (14-XX) 392 Category theory; homological algebra (18-XX) 351 $$K$$-theory (19-XX) 250 Associative rings and algebras (16-XX) 210 Algebraic topology (55-XX) 161 Group theory and generalizations (20-XX) 143 Functional analysis (46-XX) 120 Commutative algebra (13-XX) 116 Global analysis, analysis on manifolds (58-XX) 106 Number theory (11-XX) 70 Differential geometry (53-XX) 51 Nonassociative rings and algebras (17-XX) 49 Manifolds and cell complexes (57-XX) 37 Topological groups, Lie groups (22-XX) 37 Quantum theory (81-XX) 34 Combinatorics (05-XX) 25 Operator theory (47-XX) 24 Several complex variables and analytic spaces (32-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Field theory and polynomials (12-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 9 Geometry (51-XX) 8 Partial differential equations (35-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 General algebraic systems (08-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX)